Tight gas is very important unconventional hydrocarbon resource that is beginning to be a priory kind of energy in Ukraine. It stored in multi-component geological media, whose mechanical behavior may be considered as elastic one only, as a first step of approximation, or visco-elastic in common case. We investigate this problem by adopting the quasi-linear fractional Rabotnov model. These fractures serve as pathways for gas flow, and the maintenance of such fractures is of practical significance to the long-term recovery of tight gas. The main question to what extent will the fractures close due to the viscous deformation of tight sandstone, in a relatively long period of time. The second, during the visco-elastic creep, possible tensile stress in hydro fracture zone, can reduce the long-term strength of multi-component media. Previous results of authors were used. On the base of the quasi-linear theory of visco-elasticity, the constitutive equation for isotropic media in the presence of initial stress is derived. The equations governing infinitesimal motions superimposed on a finite deformation are used to study the effects of initial hydro-fracture stress on the creep parameters in multi-component geological media. Computer modeling was realized to evaluate the risk and reliability parameters in exploitation period.


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